91449648 has 120 divisors (see below), whose sum is σ = 272079808. Its totient is φ = 29719872.

The previous prime is 91449643. The next prime is 91449653. The reversal of 91449648 is 84694419.

It is an interprime number because it is at equal distance from previous prime (91449643) and next prime (91449653).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (91449643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166911 + ... + 167457.

Almost surely, 2^91449648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91449648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136039904).

91449648 is an abundant number, since it is smaller than the sum of its proper divisors (180630160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

91449648 is a wasteful number, since it uses less digits than its factorization.

91449648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 595 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 91449648 is about 9562.9309314666. The cubic root of 91449648 is about 450.5337666234.

The spelling of 91449648 in words is "ninety-one million, four hundred forty-nine thousand, six hundred forty-eight".